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Finding the Third Proportional to 100,999 and 149,546.25

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Solution

The third proportional to 100,999 and 149,546.25 is: 221,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,999 : 149,546.25 = 149,546.25 : x
  2. Step 2: Convert to fraction form
    100,999/149,546.25 = 149,546.25/x
  3. Step 3: Cross multiply
    100,999x = 149,546.25 × 149,546.25
  4. Step 4: Simplify right side
    100,999x = 22,364,080,889.06
  5. Step 5: Solve for x
    x = 22,364,080,889.06/100,999
  6. Step 6: Final answer
    x = 221,428.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.